Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics

Abstract: The first exact rotating charged black hole solution to the Einstein{nonlinear electrodynamics theory is reported. It is equipped with mass, rotation parameter, electric and magnetic charges, and three parameters due to the electrodynamics: beta is associated to the potential vectors A{mu} and starP{nu}, and two constants, F0 and G0, related to the presence of the invariants F and G in the Lagrangian L(F;G). This Petrov type D solution is characterized by the Weyl tensor eigenvalue Psi2, the Ricci tensor eigenvalue S = 2Phi(11), and the scalar curvature R; it allows for event horizons, exhibits a ring singularity and fulfills the energy conditions. Its Maxwell limit is the Kerr{Newman black hole.